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Aneli [31]
3 years ago
7

Which interval for the graphed function contains the local maximum?

Mathematics
2 answers:
Xelga [282]3 years ago
8 0

Answer:

[-1,0]

Step-by-step explanation:

prisoha [69]3 years ago
7 0

Answer:

B.1, 2

Step-by-step explanation:

That is 100% correct just took the test

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A worker was paid a salary of $10,500 in 1985. Each year, a salary increase of 6% of the previous year's salary was awarded. How
Mazyrski [523]
Note that 6% converted to a decimal number is 6/100=0.06. Also note that 6% of a certain quantity x is 0.06x.

Here is how much the worker earned each year:


In the year 1985 the worker earned <span>$10,500. 

</span>In the year 1986 the worker earned $10,500 + 0.06($10,500). Factorizing $10,500, we can write this sum as:

                                            $10,500(1+0.06).



In the year 1987 the worker earned

$10,500(1+0.06) + 0.06[$10,500(1+0.06)].

Now we can factorize $10,500(1+0.06) and write the earnings as:

$10,500(1+0.06) [1+0.06]=$10,500(1.06)^2.


Similarly we can check that in the year 1987 the worker earned $10,500(1.06)^3, which makes the pattern clear. 


We can count that from the year 1985 to 1987 we had 2+1 salaries, so from 1985 to 2010 there are 2010-1985+1=26 salaries. This means that the total paid salaries are:

10,500+10,500(1.06)^1+10,500(1.06)^2+10,500(1.06)^3...10,500(1.06)^{26}.

Factorizing, we have

=10,500[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]=10,500\cdot[1+1.06+(1.06)^2+(1.06)^3+...+(1.06)^{26}]

We recognize the sum as the geometric sum with first term 1 and common ratio 1.06, applying the formula

\sum_{i=1}^{n} a_i= a(\frac{1-r^n}{1-r}) (where a is the first term and r is the common ratio) we have:

\sum_{i=1}^{26} a_i= 1(\frac{1-(1.06)^{26}}{1-1.06})= \frac{1-4.55}{-0.06}= 59.17.



Finally, multiplying 10,500 by 59.17 we have 621.285 ($).


The answer we found is very close to D. The difference can be explained by the accuracy of the values used in calculation, most important, in calculating (1.06)^{26}.


Answer: D



4 0
3 years ago
For a beach trip, Sarai spends $9 on sunscreen, $18 on beach towels, $22 on food, $9 on a first aid kit, and $11 on sand toys.
AVprozaik [17]
$9 represents the Mode
Mode is data that occurs the most
6 0
3 years ago
What is the third quartile of this data set? 21,24,25,28,29,35,37,39,42
tangare [24]

Answer:

121.5

Step-by-step explanation:

Find the mean of the last 4 numbers.

8 0
3 years ago
Find thetwo consecutive integers whose product is 24​
malfutka [58]

Answer:

There is no solution to this equation that is an integer for x.

Step-by-step explanation:

x is the first integer, and x+1 the second

x(x+1) = 24\\x^{2} + x - 24 =0\\

x = \frac{-1+\sqrt{1^{2}+4*24}}{2} =\frac{-1+\sqrt{97}}{2}\\x = \frac{-1-\sqrt{1^{2}+4*24}}{2} =\frac{-1-\sqrt{97}}{2}

5 0
3 years ago
Suppose your diet is such that your daily saturated fat allowance shouldn't exceed 20g. If a Snickers bar has 5g of saturated fa
ss7ja [257]
Answer: 25%

Step by step explanation:
1. Turn it into a fraction (5/20)
2. Turn the faction into a decimal by dividing the numerator (5) by the denominator (20). (5÷20=0.25)
3. Multiply the decimal (0.25) by 100, to convert it into a percentage. (0.25×100=25%)
4 0
3 years ago
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